中文摘要：

电弹性材料已很久并广泛地应用于传感器和变频等机电设备方面。利用渐近展开法对小周期复合材料结构中刻画压电现象的电势与位移得到了高阶双尺度渐近展开式,建立了局部单胞内电场与位移场的相互耦合关系,并给出了压电复合材料均匀化物理参数的双尺度有限元计算方法。数值算例表明,简单的数值算例表明了公式和相关算法的有效性。

英文摘要：

The electro-elastic materials have been used widely for a long time to fabricate many electromechanical devices such as transducers and sensors.By means of the asymptotic method,the high-order two-scale finite element approximations of electrical potential and displacement for structures of composite materials with small periodic perforated configuration under piezoelectric condition are given,and the coupled relation between the displacement field and the electric field within basic unit cell has been built.The formulations and their associated algorithmic treatments have been validated by the simple numerical examples.